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Finding the Fourth Proportional to 21,461.58, 32,182.16 and 6,670.71

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Solution

The fourth proportional to 21,461.58, 32,182.16 and 6,670.71 is: 10,002.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,461.58 : 32,182.16 = 6,670.71 : x
  2. Step 2: Convert to fraction form
    21,461.58/32,182.16 = 6,670.71/x
  3. Step 3: Cross multiply
    21,461.58x = 32,182.16 × 6,670.71
  4. Step 4: Simplify right side
    21,461.58x = 214,677,823.18
  5. Step 5: Solve for x
    x = 214,677,823.18/21,461.58
  6. Step 6: Final answer
    x = 10,002.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.